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2006 Volume 16 Issue 1 Pages
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Article type: Cover
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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[in Japanese]
Article type: Article
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Kazuhiro TSUBOI
Article type: Article
2006 Volume 16 Issue 1 Pages
1-14
Published: March 25, 2006
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We investigate the density field of particle phase in low Stokes number region of 2-fluid Saffman equation which is a model of dilute particle flow on 2-fluid description with incompressible carrier flow. In the stagnation region of inviscid carrier phase, we find an exact solution of particle flow field and some features of the velocity and density fields are clarified. Furthermore, we reconsider Michael's criteria on the appearance of particle free layer. The order estimation of particle velocity field leads to the new criteria δ<κτ (δ,κ and τindicate the thickness of viscous boundary layer, the curvature and Stokes number) and computational results support the present criteria.
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Keita EMURA, Akito NOMURA
Article type: Article
2006 Volume 16 Issue 1 Pages
15-25
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Multi-secret sharing scheme (multi-SSS) is the method of distributing arbitrary numbers of secret information. Moreover, as a way anyone can check that secret information has been distributed correctly, M.Stadler defined publicly verifiable secret sharing scheme (PVSS). However the security of the method of Stadler is computationally. In this paper, we proposed that multi-SSS and PVSS using unconditionally secure asymmetric encryption (USAE) which is non-malleable cryptography. By using two methods together, it is possible to check that secret information has been correctly distributed to two or more secret information, without needing computational assumption.
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Yinglian ZHU, Toshiki TAKEUCHI, Hitoshi IMAI
Article type: Article
2006 Volume 16 Issue 1 Pages
27-36
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In the paper an inverse problem for the heat equation is simulated directly and globaly. The bounding transform is used for avoiding unboundedness of the domain and the solution. A parameter is introduced for avoiding the difficulty in numerical computation which arise from the discontinuity. Moreover, it is useful for investigation of the growth rate. Numerical results are satisfactory.
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Shin'ichi Yoshikawa, Masatoshi Tanaka, Yoshio Tabata, Makoto Naka ...
Article type: Article
2006 Volume 16 Issue 1 Pages
37-49
Published: March 25, 2006
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Production of multiple items with common cycle time and the shelf life constraint has been considered to be having the shelf life constraint. With the minor adjustments, the model is shown to be useful for the situation when multiple items violate the shelf life constraints. Recently, many papers provided details of the features considered in different models with shelf lives. These papers consider the case only one item with shelf life among items. But we need to consider the case plural items with shelf lives among items. The aim of this paper is to extend the S.Sharma's model.
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Tomoaki Okayama, Sunao Murashige
Article type: Article
2006 Volume 16 Issue 1 Pages
51-65
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This paper proposes a new method of numerical calculation for fractional derivatives. Conventional methods using difference approximation have some defects such as rounding errors and computation time. In this paper, fractional derivatives are expressed as the combination of ordinary derivatives and integrals which are calculated using automatic differentiation and double exponential formula, respectively. Numerical examples show that the proposed method gives high-precision results with practical computational cost.
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Eiji Nunohiro, Yukio Yanagisawa, Masao Igarashi
Article type: Article
2006 Volume 16 Issue 1 Pages
67-77
Published: March 25, 2006
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When we apply the Newton method to solve the system of algebraic equations, it is a priori expected that the obtained numerical solution is located near the given initial approximation. It is however observed that the obtained approximations are sometimes far from the initial approximation. By using the first and second derivatives of the given polynomials, we present a method to find the numerical solution located near the given initial approximation. Applying the complex arithmetic, we can also get the complex numerical solutions, even if the coefficients of polynomials and the initial approximation are real number.
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Shuichi Moritsugu
Article type: Article
2006 Volume 16 Issue 1 Pages
79-92
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We show an algebraic proof of the method for solving cubic equations by ORIGAMI (paper folding). Using ORIGAMI, we can solve the construction problems that are unsolvable in Euclidean geometry, such as angle trisection and doubling cubes. In our formulation, we solve the radical membership problem in polynomial ideals computing a Grobner basis together with constraints of parameters, which correspond to geometrically degenerate cases. Consequently, cubic equations are clearly solved as construction problems. We also show the construction of another solution by trigonometric functions, that is an application of angle trisection by ORIGAMI.
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Article type: Appendix
2006 Volume 16 Issue 1 Pages
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Article type: Cover
2006 Volume 16 Issue 1 Pages
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Article type: Cover
2006 Volume 16 Issue 1 Pages
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